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Finding the Fourth Proportional to 609.46, 913.92 and 464.74

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Solution

The fourth proportional to 609.46, 913.92 and 464.74 is: 696.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.46 : 913.92 = 464.74 : x
  2. Step 2: Convert to fraction form
    609.46/913.92 = 464.74/x
  3. Step 3: Cross multiply
    609.46x = 913.92 × 464.74
  4. Step 4: Simplify right side
    609.46x = 424,735.18
  5. Step 5: Solve for x
    x = 424,735.18/609.46
  6. Step 6: Final answer
    x = 696.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.